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Finding the Fourth Proportional to 294.18, 405.05 and 249.83

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Solution

The fourth proportional to 294.18, 405.05 and 249.83 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.18 : 405.05 = 249.83 : x
  2. Step 2: Convert to fraction form
    294.18/405.05 = 249.83/x
  3. Step 3: Cross multiply
    294.18x = 405.05 × 249.83
  4. Step 4: Simplify right side
    294.18x = 101,191.69
  5. Step 5: Solve for x
    x = 101,191.69/294.18
  6. Step 6: Final answer
    x = 343.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.